Graphing Linear Equations in 2 Unknowns
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This example visually demonstrates that the set of points satisfying a linear equation forms a straight line in the rectangular coordinate plane. Key math concepts include linear equations in two variables, rectangular coordinate system, and the relationship between point sets and lines. GeoGebra commands and objects used in the construction include Sequence, Distance, Intersect, and elements like S, T, U, V, int, lists1-4, A, text1, B1, a, A1, b, c, A', text3. It is suitable for middle school and above students learning analytical geometry, understanding the correspondence between equations and graphs, and applying dynamic geometry software.
GeoGebra Commands & Parameters
Sequence(Segment[(x(S) + int * i, y(S)), (x(T) + int * i, y(T))], i, 0, (x(U) - x(T)) / int) → list1Sequence(Segment[(x(T), y(T) + int * i), (x(U), y(U) + int * i)], i, 0, (y(S) - y(T)) / int) → list2Sequence(Segment[(x(S) + int * i / 5, y(S)), (x(T) + int * i / 5, y(T))], i, 0, 5 * (x(U) - x(T)) / int) → list3Sequence(Segment[(x(T), y(T) + int * i / 5), (x(U), y(U) + int * i / 5)], i, 0, 5 * (y(S) - y(T)) / int) → list4Distance(A, B1) → aIntersect(B1, c) → A'